Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13254a |
Isogeny class |
Conductor |
13254 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-7634304 = -1 · 27 · 33 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-117,-512] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] |
Generators of the group modulo torsion |
j |
-79202473/3456 |
j-invariant |
L |
4.9601028629717 |
L(r)(E,1)/r! |
Ω |
0.72470590468925 |
Real period |
R |
2.2814325235828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106032w1 39762s1 13254b1 |
Quadratic twists by: -4 -3 -47 |